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40-432: MPX may refer to: Technology [ edit ] MPX filter , a function found in cassette decks Multiplexing , the process of combining multiple analog or digital signals into one Multiplexer , an electronic device which accomplishes this task Computing [ edit ] Multi-Pointer X , an extension to X.Org MPX Microsoft Project Exchange File Format ,

80-449: A light field or sound field with discrete elements, as in 3D displays or wave field synthesis of sound. This aliasing is visible in images such as posters with lenticular printing : if they have low angular resolution, then as one moves past them, say from left-to-right, the 2D image does not initially change (so it appears to move left), then as one moves to the next angular image, the image suddenly changes (so it jumps right) – and

120-466: A negative frequency . Temporal aliasing frequencies in video and cinematography are determined by the frame rate of the camera, but the relative intensity of the aliased frequencies is determined by the shutter timing (exposure time) or the use of a temporal aliasing reduction filter during filming. Like the video camera, most sampling schemes are periodic; that is, they have a characteristic sampling frequency in time or in space. Digital cameras provide

160-508: A sample rate below the Nyquist rate . This overlap results in distortion or artifacts when the signal is reconstructed from samples which causes the reconstructed signal to differ from the original continuous signal. Aliasing that occurs in signals sampled in time, for instance in digital audio or the stroboscopic effect , is referred to as temporal aliasing . Aliasing in spatially sampled signals (e.g., moiré patterns in digital images )

200-591: A Microsoft Project file format Intel MPX , a set of Memory Protection Extensions to the x86 instruction set architecture .mpx , a video file format in the Kingston K-PEX 100 IBM 1800 MPX , in the list of operating systems MPX bus, a PowerPC CPU bus, for example in the PowerPC G4 Other uses [ edit ] MPX Energia , former name of the Brazilian utility company Eneva MPI MPXpress ,

240-455: A certain number of samples ( pixels ) per degree or per radian, or samples per mm in the focal plane of the camera. Audio signals are sampled ( digitized ) with an analog-to-digital converter , which produces a constant number of samples per second. Some of the most dramatic and subtle examples of aliasing occur when the signal being sampled also has periodic content. Actual signals have a finite duration and their frequency content, as defined by

280-488: A certain sample frequency is called an anti-aliasing filter . The filtered signal can subsequently be reconstructed, by interpolation algorithms, without significant additional distortion. Most sampled signals are not simply stored and reconstructed. But the fidelity of a theoretical reconstruction (via the Whittaker–Shannon interpolation formula ) is a customary measure of the effectiveness of sampling. Historically

320-498: A few years earlier in fractional factorial designs . While Tukey did significant work in factorial experiments and was certainly aware of aliasing in fractional designs, it cannot be determined whether his use of "aliasing" in signal processing was consciously inspired by such designs. Aliasing occurs whenever the use of discrete elements to capture or produce a continuous signal causes frequency ambiguity. Spatial aliasing, particular of angular frequency, can occur when reproducing

360-409: A non-defeatable MPX filter incorporated in their design, which limits the overall (i.e. record to playback) frequency response to about 15-16 kHz. Cheaper decks may have MPX filtering performed by a low-pass filter that rolls off everything above 15 kHz. A proper MPX filter for quality recording is, at least, a notch filter that will block the 19 kHz pilot tone, and possibly higher frequencies in

400-608: A snapshot of the lower right frame of Fig.2 shows a component at the actual frequency f {\displaystyle f} and another component at alias f − 1 ( f ) {\displaystyle f_{_{-1}}(f)} . As f {\displaystyle f} increases during the animation, f − 1 ( f ) {\displaystyle f_{_{-1}}(f)} decreases. The point at which they are equal ( f = f s / 2 ) {\displaystyle (f=f_{s}/2)}

440-551: A train locomotive SIG MPX , a submachine gun from SIG Sauer An abbreviation for mpox , an infectious viral disease Topics referred to by the same term [REDACTED] This disambiguation page lists articles associated with the title MPX . If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=MPX&oldid=1240718285 " Category : Disambiguation pages Hidden categories: Short description

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480-432: Is a major concern in the sampling of video and audio signals. Music, for instance, may contain high-frequency components that are inaudible to humans. If a piece of music is sampled at 32,000 samples per second (Hz), any frequency components at or above 16,000 Hz (the Nyquist frequency for this sampling rate) will cause aliasing when the music is reproduced by a digital-to-analog converter (DAC). The high frequencies in

520-484: Is an axis of symmetry called the folding frequency , also known as Nyquist frequency . Aliasing matters when one attempts to reconstruct the original waveform from its samples. The most common reconstruction technique produces the smallest of the f N ( f ) {\displaystyle f_{_{N}}(f)} frequencies. So it is usually important that f 0 ( f ) {\displaystyle f_{0}(f)} be

560-460: Is different from Wikidata All article disambiguation pages All disambiguation pages MPX filter FM stereo broadcasts contain a pilot tone - a 19 kHz sinewave serving as a phase reference for decoding the stereophonic information. The system was developed jointly by Zenith and General Electric , and approved by the FCC in 1961. Normal monaural audio, the pilot tone and

600-445: Is referred to as spatial aliasing . Aliasing is generally avoided by applying low-pass filters or anti-aliasing filters (AAF) to the input signal before sampling and when converting a signal from a higher to a lower sampling rate. Suitable reconstruction filtering should then be used when restoring the sampled signal to the continuous domain or converting a signal from a lower to a higher sampling rate. For spatial anti-aliasing ,

640-402: Is seen. An example of spatial aliasing is the moiré pattern observed in a poorly pixelized image of a brick wall. Spatial anti-aliasing techniques avoid such poor pixelizations. Aliasing can be caused either by the sampling stage or the reconstruction stage; these may be distinguished by calling sampling aliasing prealiasing and reconstruction aliasing postaliasing. Temporal aliasing

680-573: Is used intentionally on signals with no low-frequency content, called bandpass signals. Undersampling , which creates low-frequency aliases, can produce the same result, with less effort, as frequency-shifting the signal to lower frequencies before sampling at the lower rate. Some digital channelizers exploit aliasing in this way for computational efficiency.   (See Sampling (signal processing) , Nyquist rate (relative to sampling) , and Filter bank .) Sinusoids are an important type of periodic function, because realistic signals are often modeled as

720-456: The Fourier transform , has no upper bound. Some amount of aliasing always occurs when such functions are sampled. Functions whose frequency content is bounded ( bandlimited ) have an infinite duration in the time domain. If sampled at a high enough rate, determined by the bandwidth , the original function can, in theory, be perfectly reconstructed from the infinite set of samples. Sometimes aliasing

760-625: The audio band (although beyond the range of many adult listeners), and can be compromised by high-energy treble components of the source. Any energy at frequencies above 19 kHz, which is the Nyquist frequency of FM stereo, may cause offensive audible aliasing described as "monkey chatter". Any energy between 18.5 and 19.5 kHz may disrupt stereo decoding, causing sudden rotation of the soundfield. For this reasons, source programs for commercial FM broadcasting are limited to 50 Hz – 15 kHz bandwidth with very steep 15 kHz low-pass filters . Source programs transmitted to personal monitors on stage or in

800-454: The double sideband stereophonic difference information are all mixed together into composite FM baseband signal extending to 53 kHz (stereo audio only) or 99 kHz (stereo audio plus an auxiliary subchannel, so-called SCA ). The process of encoding the difference signal into the 23-53kHz band via double-sideband carrier-suppressed amplitude modulation is an instance of multiplexing (hence the name MPX filter ). The pilot tone resides inside

840-570: The frequency spectrum of real-valued samples, such as Fig.4.. Complex sinusoids are waveforms whose samples are complex numbers , and the concept of negative frequency is necessary to distinguish them. In that case, the frequencies of the aliases are given by just :   f N ( f ) = f + N f s .   Therefore, as   f   increases from   0   to   f s ,   f −1 ( f )   also increases (from   – f s   to 0).  Consequently, complex sinusoids do not exhibit folding . When

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880-421: The recording studio do not need to follow the broadcast 50 Hz – 15 kHz standard, and may have substantial upper treble content. Sources that were subjected to excessive treble boost , or excessive stereo panning are particularly capable of degrading stereo FM reception. For this reason, they must pass through a brickwall MPX filter to clean up space for the pilot tone. Residual high-frequency components of

920-468: The 23-53kHz and 63-75kHz bands. The difference can be heard when recording from an FM stereo source and engaging and disengaging the MPX filter switch. On a three-head deck with monitoring, this can be heard while recording. The setting of the switch has no effect during playback. Aliasing In signal processing and related disciplines, aliasing is the overlapping of frequency components resulting from

960-477: The 4 black dots in Fig.3. The red lines depict the paths ( loci ) of the 4 dots if we were to adjust the frequency and amplitude of the sinusoid along the solid red segment (between   f s /2   and   f s ).  No matter what function we choose to change the amplitude vs frequency, the graph will exhibit symmetry between 0 and   f s .   Folding is often observed in practice when viewing

1000-412: The MPX filter is mandatory for all cassette recorders equipped with Dolby B and Dolby C systems. On some decks (those capable of recording to 19 kHz) it is usually defeatable, and should be engaged only for recording from FM stereo (but not other sources such as Compact Disc ). Sometimes, defeatable MPX filter engages only when noise reduction is enabled. Decks with no MPX filter switch typically have

1040-650: The analog signal will appear as lower frequencies (wrong alias) in the recorded digital sample and, hence, cannot be reproduced by the DAC. To prevent this, an anti-aliasing filter is used to remove components above the Nyquist frequency prior to sampling. In video or cinematography, temporal aliasing results from the limited frame rate, and causes the wagon-wheel effect , whereby a spoked wheel appears to rotate too slowly or even backwards. Aliasing has changed its apparent frequency of rotation. A reversal of direction can be described as

1080-522: The condition   f s /2 > f   is met for the highest frequency component of the original signal, then it is met for all the frequency components, a condition called the Nyquist criterion . That is typically approximated by filtering the original signal to attenuate high frequency components before it is sampled. These attenuated high frequency components still generate low-frequency aliases, but typically at low enough amplitudes that they do not cause problems. A filter chosen in anticipation of

1120-448: The following audio demonstration. Six sawtooth waves are played in succession, with the first two sawtooths having a fundamental frequency of 440 Hz (A4), the second two having fundamental frequency of 880 Hz (A5), and the final two at 1760 Hz (A6). The sawtooths alternate between bandlimited (non-aliased) sawtooths and aliased sawtooths and the sampling rate is 22050 Hz. The bandlimited sawtooths are synthesized from

1160-589: The frequency and amplitude of this side-to-side movement corresponds to the angular resolution of the image (and, for frequency, the speed of the viewer's lateral movement), which is the angular aliasing of the 4D light field. The lack of parallax on viewer movement in 2D images and in 3-D film produced by stereoscopic glasses (in 3D films the effect is called " yawing ", as the image appears to rotate on its axis) can similarly be seen as loss of angular resolution, all angular frequencies being aliased to 0 (constant). The qualitative effects of aliasing can be heard in

1200-439: The reconstruction matches the actual waveform (upper left frame). After that, it is the low frequency alias of the upper frame. The figures below offer additional depictions of aliasing, due to sampling. A graph of amplitude vs frequency (not time) for a single sinusoid at frequency   0.6 f s   and some of its aliases at   0.4 f s ,   1.4 f s ,   and   1.6 f s   would look like

1240-559: The samples produces equally strong responses at all those frequencies. Without collateral information, the frequency of the original function is ambiguous. So the functions and their frequencies are said to be aliases of each other. Noting the trigonometric identity : we can write all the alias frequencies as positive values:  f N ( f ) ≜ | f + N f s | {\displaystyle f_{_{N}}(f)\triangleq \left|f+Nf_{\rm {s}}\right|} . For example,

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1280-494: The sawtooth waveform's Fourier series such that no harmonics above the Nyquist frequency are present. The aliasing distortion in the lower frequencies is increasingly obvious with higher fundamental frequencies, and while the bandlimited sawtooth is still clear at 1760 Hz, the aliased sawtooth is degraded and harsh with a buzzing audible at frequencies lower than the fundamental. A form of spatial aliasing can also occur in antenna arrays or microphone arrays used to estimate

1320-468: The signal remaining after de-multiplexing can be problematic when recording to analog magnetic media. The pilot tone is transmitted at 10% of maximum modulation level and further reduced by 15 db in the receiver to compensate for the pre-emphasis on the transmitting side. High quality FM tuners have built-in MPX filters, which must be very sharp (at least -60 dB rejection at precisely 19 kHz) to be effective. If, however, no MPX filtering takes place in

1360-488: The summation of many sinusoids of different frequencies and different amplitudes (for example, with a Fourier series or transform ). Understanding what aliasing does to the individual sinusoids is useful in understanding what happens to their sum. When sampling a function at frequency f s (intervals 1/ f s ), the following functions of time ( t ) yield identical sets of samples: {sin(2π( f+Nf s ) t + φ), N = 0, ±1, ±2, ±3,... }. A frequency spectrum of

1400-446: The term aliasing evolved from radio engineering because of the action of superheterodyne receivers . When the receiver shifts multiple signals down to lower frequencies, from RF to IF by heterodyning , an unwanted signal, from an RF frequency equally far from the local oscillator (LO) frequency as the desired signal, but on the wrong side of the LO, can end up at the same IF frequency as

1440-571: The term "aliasing" in this context is due to Blackman and Tukey in 1958. In their preface to the Dover reprint of this paper, they point out that the idea of aliasing had been illustrated graphically by Stumpf ten years prior. The 1949 Bell technical report refers to aliasing as though it is a well-known concept, but does not offer a source for the term. Gwilym Jenkins and Maurice Priestley credit Tukey with introducing it in this context, though an analogous concept of aliasing had been introduced

1480-426: The tuner, the pilot tone passes through at -35 dB below theoretical maximum. This is sufficient to cause intermodulation distortion with source treble content, and to cause audible beat with the bias oscillator during recording. More importantly, the pilot tone interferes with the proper functioning of reciprocal noise reduction systems, causing audible artefacts such as breathing and pumping For this reason,

1520-406: The types of anti-aliasing include fast approximate anti-aliasing (FXAA), multisample anti-aliasing , and supersampling . When a digital image is viewed, a reconstruction is performed by a display or printer device, and by the eyes and the brain. If the image data is processed incorrectly during sampling or reconstruction, the reconstructed image will differ from the original image, and an alias

1560-462: The unique minimum.  A necessary and sufficient condition for that is f s / 2 > | f | , {\displaystyle f_{s}/2>|f|,} called the Nyquist condition . The lower left frame of Fig.2 depicts the typical reconstruction result of the available samples. Until f {\displaystyle f} exceeds the Nyquist frequency,

1600-470: The wanted one. If it is strong enough it can interfere with reception of the desired signal. This unwanted signal is known as an image or alias of the desired signal. The first written use of the terms "alias" and "aliasing" in signal processing appears to be in a 1949 unpublished Bell Laboratories technical memorandum by John Tukey and Richard Hamming . That paper includes an example of frequency aliasing dating back to 1922. The first published use of

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