Digital Signal Processing Spectral Computation and Filter Design

Designed for a first course in digital signal processing, Digital Signal Processing: Spectral Computation and Filter Design covers two major topics: the computation of frequency contents of signals and the design of digital filters. While it focuses on basic ideas and procedures and covers thestandard topics in the field, this unique text distinguishes itself from competing texts by extensively employing the fast Fourier transform (FFT). Part 1: Spectral Computation deals with continuous-time (CT), discrete-time (DT), and digital signals; CT and DT Fourier series (frequency components); CT and DT Fourier transforms (frequency spectra); and discrete Fourier transform (DFT) and fast Fourier transform (FFT). Part 2: Digital FilterDesign discusses linear time-invariant lumped systems; ideal and practical digital filters; design of FIR digital filters; design of IIR filters; and structures of digital filters. Digital Signal Processing covers numerous topics not found in similar texts. It: DT Establishes a simplified version of the sampling theorem for periodic signals DT Uses FFT to compute frequency spectra of DT and CT signals and inverse FFT to compute DT and CT signals from their frequency spectra DT Employs FFT to compute the inverse z-transform DT Covers steady-state and transient responses of digital filters and gives an estimated time for a transient response to die out DT Gives a mathematical justification for using an antialiasing analog filter in digital signal processing DT Introduces a discrete least-squares method to design FIR filters DT Presents an analog bandstop transformation that yields better results than ones generated by MATLABRG Digital Signal Processing features careful definitions of all terminology and a wealth of examples and problems. All numerical examples and most end-of-chapter problems are simple enough to be solved analytically by hand; these results can then be compared with the computer-generated solutions.MATLABRG is an integral part of the text.