Notes on Digital Signal Processing

Notes on Digital Signal Processing begins with mapping diagrams that illuminate the relationships between all topics covered in the book. Many recipes include examples demonstrating actual applications, and most sections rely on widely used MATLAB tools.

• DSP fundamentals: ideal, natural, and instantaneous sampling; delta functions; physical signal reconstruction; and more

• Fourier Analysis: Fourier series and transforms; discrete-time and discrete Fourier transforms; signal truncation; DFT leakage and resolution

• Fast Fourier transforms: decimation in time and frequency; prime factor algorithms; and fast convolution

• Window techniques: sinusoidal analysis; window characteristics and choices; Kaiser windows; and more

• Classical spectrum analysis: unmodified and modified periodograms; Bartlett’s and Welch’s periodograms; and periodogram performance

• FIR filters: design options; linear-phase FIR filters; periodicities; basic and Kaiser window methods; and the Parks-McClellan algorithm

• Analog prototype filters: Laplace transforms; characterization; and Butterworth, Chebyshev, elliptic, and Bessel filters

• z-Transform analysis: computation and transforms using partial fraction expansion

• IIR filters: design options; impulse invariance methods; and bilinear transformation

• Multirate signal processing: decimation and interpolation fundamentals; multistage and polyphase decimators and interpolation

• Bandpass and quadrature techniques: bandpass sampling; wedge diagrams; complex and analytic signals; and advanced signal generation techniques

• Statistical signal processing: parametric modeling of discrete-time signals; autoregressive signal models; fitting AR and All-Pole models; and more