Mulirate Signal Processing

EEE305, EEE801 Part A: digital prefigure Processing Chapter 9: Multirate Digital Signal Processing Chapter 9 Multirate Digital Signal Processing 9.1 Introduction Multirate musical arrangements have gained popularity since the earliest 1980s and they atomic number 18 commonly used for audio and television processing, communications systems, and shift analysis to name but a few. In more or less applications multirate systems are used to improve the performance, or for increased computational efficiency. The two basic operations in a multirate system are decreasing (decimation) and increasing (interpolation) the consume-rate of a call for. Multirate systems are sometimes used for take-rate conversion, which involves both decimation and interpolation. 9.2 Decimation Decimation can be regarded as the discrete-time alikeness of sampling. Whereas in sampling we rise with a continuous-time signal x(t) and shift it into a sequence of samples x[n], in decimation we start with a discrete-time signal x[n] and convert it into another discrete-time signal y[n], which consists of sub-samples of x[n]. Thus, the evening gown commentary of M-fold decimation, or down-sampling, is defined by Equation 9.1. In decimation, the sampling rate is reduced from Fs to Fs/M by discarding M 1 samples for every M samples in the original sequence.

y[n] = v[nM ] = k = ?? ? h[k ]x[nM ? k ] Digital anti-aliasing filter x[n] v[n] h[k] ?M Sampling-rate compressor y[n] ? (9.1) Fs Fs/M experience 9.1: slacken off up diagram notation of decimation, by a operator of M. The handicap diagram notation of the decimation process is depicted in Figure 9 .1. An anti-aliasing digital filter precedes! the down-sampler to prevent aliasing from occurring, due to the cast down sampling rate. The subject of aliasing in decimated signals is covered in more circumstance in Section 9.4. In Figure 9.2 below, it illustrates the impression of 3-fold decimation i.e. M = 3. Here, the samples of x[n] corresponding to n = , -2, 1, 4, and n = , -1,...If you want to bug out a full essay, order it on our website: OrderEssay.net

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