This chapter discusses the transform domain representation of discrete-time sequences by discrete-time Fourier series (DTFS) and discrete-time Fourier transform (DTFT) in which a discrete-time sequence is mapped into a continuous function of frequency. We first obtain the discrete-time Fourier series (DTFS) expansion of a periodic sequence. The periodic convolution and the properties of DTFS are discussed. The Fourier transform domain representation of discrete-time sequences are described along with the conditions for the existence of DTFT and its properties. Later, the frequency response of discrete-time systems, frequency domain representation of sampling process, and reconstruction of band-limited signals from its samples are discussed.
CITATION STYLE
Rao, K. D. (2018). Frequency Domain Analysis of Discrete-Time Signals and Systems. In Signals and Systems (pp. 313–351). Springer International Publishing. https://doi.org/10.1007/978-3-319-68675-2_7
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