Signal Processing and Linear Systems-B.P.Lathi copy

1 aperiodic signal representation by fourier integral

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Unformatted text preview: y Continuous-Time Signal Analysis: T he Fourier Transform 4.1 Aperiodic Signal Representation By Fourier Integral 4.2 Transform o f Some Useful Functions viii ... 235 235 245 4.3 4.4 4.5 4.6 4.7 4.8 4.9 4.10 Some Properties of t he Fourier Transform Signal Transmission Through LTIC S ystems Ideal a nd Practical Filters Signal Energy Application t o Communications: Amplitude Modulation Angle Modulation Data Truncation: Window Functions Summary ix 251 267 247 274 277 289 300 306 5 Sampling 319 5.1 T he Sampling Theorem 5.2 Numerical Computation o f Fourier Transform: T he Discrete Fourier Transform (DFT) 5.3 T he F ast Fourier Transform ( FFT) 5.4 Appendix 5.1 5.5 Summary 319 6 Continuous-Time System Analysis Using t he Laplace Transform 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 6.10 T he Laplace Transform Some Properties of t he Laplace Transform Solution o f Differential and Integro-Differential Equations Analysis o f Electrical Networks: T he Transformed Network Block D iagrams System Realization Application t o Feedback and Controls The Bilateral Laplace Transform Appendix 6.1: Second Canonical Realization Summary 7 Frequency Response and Analog Filters 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 Frequency Response of an LTIC System Bode Plots Control System design Using Frequency Response Filter Design by P lacement o f Poles and Zeros o f H(s) Butterworth Filters Chebyshev Filters Frequency Transformations Filters t o Satisfy Distortionless Transmission Conditions Summary 8 Discrete-Time Signals and Systems 8.1 8.2 8.3 8.4 8.5 8.6 Introduction Some Useful Discrete-Time Signal Models Sampling Continuous-Time Sinusoids and Aliasing Useful Signal O perations Examples o f Discrete-Time Systems Summary 9 Time-Domain Analysis o f Discrete-Time Systems 9.1 Discrete-Time System Equations 9.2 System Response t o Internal Conditions: Zero-Input Response 338 352 356 357 361 361 381 390 398 411 414 4 26 449 457 458 471 471 477 490 495 505 514 524 533 536 540 540 541 557 559 562 568 573 573 578 9.3 9.4 9.5 9.6 9.7 9.8 10 10.1 10.2 10.3 10.4 10.5 10.6 10.7 10.8 11 11.1 11.2 11.3 11.4 11.5 11.6 11.7 11.8 12 12.1 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9 Unit I mpulse Response h[k] S ystem Response t o External Input: Z ero-State Response Classical solution o f Linear Difference Equations S ystem Stability A ppendix 9.1: Determining Impulse Response S ummary P eriodic Signal R epresentation by D iscrete-Time Fourier Series A periodic Signal R epresentation by Fourier Integral P roperties o f D TFT D TFT Connection W ith t he Continuous- Time Fourier transform D iscrete-Time Linear System analysis by D TFT Signal Processing Using D FT and F FT G eneralization o f D TFT t o t he Z -Transform S ummary Discrete-Time System Analysis Using the z- Transform T he Z - T ra nsform S ome Properties o f t he Z - Transform Z - Transform Solution o f Linear Difference Equations S ystem Realization C onnection Between t he Laplace and t he Z - Transform S ampled-Data (Hybrid) Systems T he B ilateral Z -Transform S ummary 617 624 633 636 638 641 659 662 668 668 680 685 693 695 697 704 710 716 Frequency Response and Digital Filters F requency Response o f D iscrete-Time S ystems F requency Response From Pole-Zero Location D igital Filters Filter Design Criteria R ecursive Filter Design: T he Impulse Invariance M ethod R ecursive Filter Design: T he Bilinear T ransformation Method Nonrecursive Filters N onrecursive Filter Design S ummary 716 722 729 731 734 740 756 761 777 784 I n...
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