Schaum's Digital Signal Processing--good book

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Chapter 1. Signals and Systems 1
1.1 Introduction 1
1.2 Discrete-Time Signals 1
1.2.1 Complex Sequences 2
1.2.2 Some Fundamental Sequences 2
% P6 }2 }1 a& a$ @! S" K7 L1.2.3 Signal Duration 3
8 ~$ Q) k" J/ `3 K/ f1.2.4 Periodic and Aperiodic Sequences 3
1.2.5 Symmetric Sequences 4
1.2.6 Signal Manipulations 4
1.2.7 Signal Decomposition 6
, \3 w' l* J. }1.3 Discrete-Time Systems 7
1.3.1 Systems Properties 7
1.4 Convolution 11
+ ~9 i( V+ ?( {! b* Z, X4 E- v1 m1.4.1 Convolution Properties 11
" Z( h& Z% A# O. b& _1.4.2 PeRForming Convolutions 12
7 q1 Z$ Y7 f8 W- L. K1.5 Difference Equations 15
' b# X4 s; p! I1 k& h, ESolved Problems 18
Chapter 2. Fourier Analysis 55
2.1 Introduction 55
6 J) ?2 W! j) k: i+ ?* \2.2 Frequency Response 55
; G0 J5 W! \4 ?, Z2.3 Filters 58
2.4 Interconnection of Systems 59
2.5 The Discrete-Time Fourier Transform 61
2.6 DTFT Properties 62
2.7 Applications 64
2.7.1 LSI Systems and LCCDEs 64
2.7.2 Performing Convolutions 65
8 ?' E9 _; O4 [7 f2.7.3 Solving Difference Equations 66
2.7.4 Inverse Systems 66
% ?6 u+ H% w4 U8 l% f2 p$ nSolved Problems 67
Chapter 3. Sampling 101
3.1 Introduction 101
  i1 T8 R+ H3 _$ b9 S' Q4 p9 H3.2 Analog-to-Digital Conversion 101
3.2.1 Periodic Sampling 101
4 q$ x8 J1 C$ t& m# p3.2.2 Quantization and Encoding 104
. l# V' Q+ |4 U9 Y/ Y2 u3.3 Digital-to-Analog Conversion 106
; W) s2 G& B% z- ?: H3.4 Discrete-Time Processing of Analog Signals 108
3.5 Sample Rate Conversion 110
3.5.1 Sample Rate Reduction by an Integer Factor 110
3.5.2 Sample Rate Increase by an Integer Factor 111
" G: ~* y3 ~: N: n3.5.3 Sample Rate Conversion by a Rational Factor 113
( \6 E: V( p5 p3 ^( `Solved Problems 114
) F4 A. k/ S  {" C* ?$ Z$ \Chapter 4. The Z-Transform 142
& x! c- ^/ Q9 O0 u+ m4.1 Introduction 142
# _4 U& W- c- B6 N0 s. ^9 d4.2 Definition of the z-Transform 142
4.3 Properties 146
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( K+ N4 d3 `* {! ~* B4.4 The Inverse z-Transform 149
4.4.1 Partial Fraction Expansion 149
4.4.2 Power Series 150
& v% i* z( J& ]6 l4.4.3 Contour Integration 151
: `: R" U! a3 h! Y; s+ `( j4.5 The One-Sided z-Transform 151
Solved Problems 152
* q0 m$ u* l; F$ ^0 c" `8 L, `: ], QChapter 5. Transform Analysis of Systems 183
5.1 Introduction 183
5.2 System Function 183
6 Y7 l" H8 [+ K/ a! j# Y# T5.2.1 Stability and Causality 184
* k% Y# y5 _; b+ o! {5.2.2 Inverse Systems 186
9 D+ |" b& @& Q! M5.2.3 Unit Sample Response for Rational System Functions 187
5.2.4 Frequency Response for Rational System Functions 188
3 P" x/ E/ ]  M0 g, K0 {: r5.3 Systems with Linear Phase 189
5.4 Allpass Filters 193
5.5 Minimum Phase Systems 194
5.6 Feedback Systems 195
' R. Q$ j4 R1 X9 b( W2 q7 eSolved Problems 196
) R0 Y# ?% ~+ NChapter 6. The DFT 223
6.1 Introduction 223
- G+ o. n3 ^9 x6.2 Discrete Fourier Series 223
6.3 Discrete Fourier Transform 226
6.4 DFT Properties 227
) R# \$ d0 ^8 g  m$ A! P) h6.5 Sampling the DTFT 231
1 ^+ _, y, H  }; W- H2 L6.6 Linear Convolution Using the DFT 232
8 \9 d5 v/ T' J4 \- }Solved Problems 235
- P/ P8 Z- ~, ?; kChapter 7. The Fast Fourier Transform 262
7.1 Introduction 262
0 J6 E; X0 k  z+ x, A7 W% M) [7.2 Radix-2 FFT Algorithms 262
1 K, z# R  x2 V5 d! i& N7.2.1 Decimation-in-Time FFT 262
" P" H# u6 S$ v9 j2 W7.2.2 Decimation-in-Frequency FFT 266
- m+ }5 B- s9 d1 T4 f8 |. p( H7.3 FFT Algorithms for Composite N 267
7.4 Prime Factor FFT 271
+ d, I7 e. A& CSolved Problems 273
; ]" p4 ?9 U3 K0 YChapter 8. Implementation of Discrete-Time Systems 287
8.1 Introduction 287
# d/ Q8 S% v1 g8.2 Digital Networks 287
8.3 Structures for FIR Systems 289
8.3.1 Direct Form 289
/ y% S0 K7 K- y/ Q& F8.3.2 Cascade Form 289
: F' Q9 o. D. t3 _1 V8.3.3 Linear Phase Filters 289
8.3.4 Frequency Sampling 291
! n$ u% W5 U8 l/ Q7 f; y* }8.4 Structures for IIR Systems 291
* H( X# q+ Y- q7 g9 n( t, d" I8.4.1 Direct Form 292
2 O: \7 C7 S" Q. F8.4.2 Cascade Form 294
0 ]& U) }  Q- `' d8.4.3 Parallel Structure 295
1 D. E# E0 G; z, V" b; T# p0 u' b8.4.4 Transposed Structures 296
3 N, m6 [( s$ [' b" _8.4.5 Allpass Filters 296
4 v! D- N( F" |8.5 Lattice Filters 298
8.5.1 FIR Lattice Filters 298
8.5.2 All-Pole Lattice Filters 300
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8.5.3 IIR Lattice Filters 301
; t9 t* P5 X" d" y8 x8 z8.6 Finite Word-Length Effects 302
8.6.1 Binary Representation of Numbers 302
8 k% }8 p; R* b* [) d8.6.2 Quantization of Filter Coefficients 304
8.6.3 Round-Off Noise 306
# S' z3 z5 e4 i; o8 k- T# A8.6.4 Pairing and Ordering 309
- \- @! M3 u% s; A/ e8.6.5 Overflow 309
Solved Problems 310
3 |6 V/ r: k7 P: DChapter 9. Filter Design 358
$ [: H2 K' t  |6 C. G$ u7 z9.1 Introduction 358
9.2 Filter Specifications 358
9.3 FIR Filter Design 359
$ f4 _3 G5 Q6 {5 ?. Q# Q' ?9.3.1 Linear Phase FIR Design Using Windows 359
9.3.2 Frequency Sampling Filter Design 363
9.3.3 Equiripple Linear Phase Filters 363
9.4 IIR Filter Design 366
9.4.1 Analog Low-Pass Filter Prototypes 367
9.4.2 Design of IIR Filters from Analog Filters 373
9.4.3 Frequency Transformations 376
6 e( T5 F$ m0 H$ @7 h3 x9.5 Filter Design Based on a Least Squares Approach 376
; S) ?2 _" }( ~, W9.5.1 Pade Approximation 377
9.5.2 Prony's Method 378
$ d$ w" n2 |8 `5 r4 t9.5.3 FIR Least-Squares Inverse 379
. O. i3 s  \  \' G5 OSolved Problems

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