Digital signal processing: principles, algorithms, and applications 
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I have read the part of spectrum estimation, which is very comprehensive and clearly. It help me clarify many misconception and questions, especially in the nonparametric estimation methods, the time window effects and frequency leakage.
A book for rookies in mathematics
User Review  Purnabhishek M...  FlipkartIt is a good book for digital signal processing I admit but it lacks solid mathematical background.It doesn't has good link with mathematical concepts its like giving merely procedure to solve ... Read full review
Contents
DISCRETETIME SIGNALS AND SYSTEMS  39 
THE ZTRANSFORM AND ITS APPLICATION TO THE ANALYSIS  151 
FREQUENCY ANALYSIS OF SIGNALS AND SYSTEMS  230 
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Common terms and phrases
A/D converter aliasing analog filter analog signal autocorrelation autocorrelation sequence causal complex computation Consequently continuoustime convolution corresponding crosscorrelation decimation density spectrum Determine difference equation digital filter digital signal digital signal processing direct form discretetime signal equivalent Example exponential expressed factor FFT algorithm Figure filter design finite FIR filter FIR system Fourier series Fourier transform frequency domain frequency response frequency response characteristics given H(co Hence IDFT illustrated in Fig implementation impulse response impulse response h(n input sequence input x(n inputoutput interpolation inverse lattice linear timeinvariant system lowpass filter LTI system magnitude and phase matrix method multiplications noise obtain parameters passband periodic signal polezero poles polynomial quantization error realization result sampling rate secondorder sequence x(n shown in Fig signal processing Solution spectral statespace stopband structure system described system function H(z theorem unit circle unit sample response values variable X(co xa(t zplane ztransform zero