Pulse-code modulation: Difference between revisions

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	'''Pulse Code Modulation''' (PCM) is a digital representation of an analog signal.		'''Pulse Code ]''' (PCM) is a digital representation of an analog ].

	The signal is ] at a ~~sampling~~ frequency ''f<sub>s</sub>''. This means the value of the signal, a sample, is captured at uniform ~~distances~~ ''T ''(= ''1/f<sub>s</sub>''). Every sample is ] to a series of symbols in a code in which ~~there are a discrete number of possible symbol values. Where the number of possible values~~ is ~~two, the code is said to be~~ a ] code.		The magnitude of the signal (with respect to a fixed reference) is ] regularly at a frequency ''f<sub>s</sub>''. This means the value of the signal, a sample, is captured at uniform intervals of duration ''T ''(= ''1/f<sub>s</sub>''). Every sample is ] to a series of symbols in a digital code, which is usually a ] code.

	PCM is used in digital ] systems or for digital audio recording on ] (]).		PCM is used in digital ] systems and for digital audio recording on ] (CD).

		⚫	In conventional PCM, before being digitized, the ] may be processed (e.g. compressed), but once digitized, the PCM signal is not subjected to further processing (e.g. ] compaction). In telephony, several PCM streams may be multiplexed into a larger aggregate ].

	'''Differential (or Delta) Pulse Code Modulation''' (DPCM) encodes the PCM values as differences between the current and the previous value. For audio this type of encoding reduces the number of bits required per sample compared to PCM by about 25%. A variant of DPCM, '''Adaptive DPCM''' ('''ADPCM''') varies the size of the quantization step, to allow futher reduction of the required bandwidth for a given signal-to-noise ratio.		'''Differential (or Delta) Pulse Code Modulation''' (DPCM) encodes the PCM values as differences between the current and the previous value. For audio this type of encoding reduces the number of bits required per sample compared to PCM by about 25%. A variant of DPCM, '''Adaptive DPCM''' ('''ADPCM''') varies the size of the quantization step, to allow futher reduction of the required bandwidth for a given signal-to-noise ratio.
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	Many of these codes are ]s, where the pulses can be positive, negative or absent. Typically, non-zero pulses alternate between being positive and negative. These rules may be violated to generate special symbols used for framing or other special purposes.		Many of these codes are ]s, where the pulses can be positive, negative or absent. Typically, non-zero pulses alternate between being positive and negative. These rules may be violated to generate special symbols used for framing or other special purposes.

	----

	'''Pulse-code modulation''' (PCM): ] in which a ] is sampled, and the magnitude (with respect to a fixed reference) of each sample is quantized and digitized for ] over a common ].

⚫	~~<i>Note 1:</i>~~ In conventional PCM, before being digitized, the ] may be processed (~~<i>~~e.g.~~,</i>~~ compressed), but once digitized, the PCM signal is not subjected to further processing (~~<i>~~e.g.~~,</i>~~ ] compaction) ~~before~~ ~~being~~ multiplexed into ~~the~~ aggregate ].

	<i>Note 2:</i> PCM ] trains may be interleaved with pulse trains from other channels.

	Source: from ] and from ]

	----

	See also:		See also:

Revision as of 13:42, 20 January 2003

Pulse Code Modulation (PCM) is a digital representation of an analog signal.

The magnitude of the signal (with respect to a fixed reference) is sampled regularly at a frequency f_s. This means the value of the signal, a sample, is captured at uniform intervals of duration T (= 1/f_s). Every sample is quantized to a series of symbols in a digital code, which is usually a binary code.

PCM is used in digital telephone systems and for digital audio recording on compact disc (CD).

In conventional PCM, before being digitized, the analog data may be processed (e.g. compressed), but once digitized, the PCM signal is not subjected to further processing (e.g. digital compaction). In telephony, several PCM streams may be multiplexed into a larger aggregate data stream.

Differential (or Delta) Pulse Code Modulation (DPCM) encodes the PCM values as differences between the current and the previous value. For audio this type of encoding reduces the number of bits required per sample compared to PCM by about 25%. A variant of DPCM, Adaptive DPCM (ADPCM) varies the size of the quantization step, to allow futher reduction of the required bandwidth for a given signal-to-noise ratio.

Pulse code modulation can be either Return to Zero (RZ) or Non Return to Zero (NRZ). For a NRZ system to be synchronized using in-band information, there must not be long sequences of identical symbols, such as ones or zeroes. For binary PCM systems, the density of 1-symbols is called 'ones-density'.

Ones-density is often controlled using precoding techniques where the PCM code is expanded into a slightly longer code with a guaranteed bound on ones-density before modulation into the channel. In other cases, extra 'framing' bits are added into the stream which guarantee at least occasional symbol transitions.

Another technique used to control ones-density is the use of a 'scrambler' polynomial on the raw data which will tend to turn the raw data stream into a stream that looks pseudo-random, but where the raw stream can be recovered exactly by reversing the effect of the polynomial. In this case, long runs of zeroes or ones are still possible on the output, but are considered unlikely enough to be within normal engineering tolerance.

In other cases, the long term DC value of the modulated signal is important, as building up a DC offset will tend to bias detector circuits out of their operating range. In this case special measures are taken to keep a count of the cumulative DC offset, and to modify the codes if necessary to make the DC offset always tend back to zero.

Many of these codes are bipolar codes, where the pulses can be positive, negative or absent. Typically, non-zero pulses alternate between being positive and negative. These rules may be violated to generate special symbols used for framing or other special purposes.