Mulirate Signal Processing

EEE305, EEE801 Part A: digital star sign Processing Chapter 9: Multirate Digital Signal Processing Chapter 9 Multirate Digital Signal Processing 9.1 Introduction Multirate system of ruless have gained popularity since the earliest 1980s and they be commonly used for audio and television processing, communications systems, and interpret analysis to name but a few. In most(prenominal) 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 argue. Multirate systems are sometimes used for have-rate conversion, which involves both decimation and interpolation. 9.2 Decimation Decimation can be regarded as the discrete-time similitude of sampling. Whereas in sampling we rise with a continuous-time signal x(t) and switch 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 definition 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: put on up diagram notation of decimation, by a portion of M. The handicap diagram notation of the decimation p rocess is depicted in Figure 9.1. An anti-al! iasing digital filter precedes the down-sampler to prevent aliasing from occurring, due to the scorn 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 fantasy 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 shoot for a full essay, order it on our website: BestEssayCheap.com

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