Tài liệu Digital Signal Processing P1 doc

[...]...Chapter 1 Signals and Systems 1.1 INTRODUCTION In this chapter we begin our study of digital signal processing by developing the notion of a discrete-time signal and a discrete-time system We will concentrate on solving problems related to signal representations, signal manipulations, properties of signals, system classification, and system properties First,... complex signal is said to be conjugate symmetric3 if, for all n , x(n) = x*(-n) and a signal is said to be conjugate antisymmetric if, for all n , x(n) = -x*(-n) Any complex signal may always be decomposed into a sum of a conjugate symmetric signal and a conjugate antisymmeuic signal 1J.6 Signal Manipulations In our study of discrete-time signals and systems we will be concerned with the manipulation of signals... analog-to -digital converter that is converting an Analog-to -digital conversion will be discussed in Chap 3 1 2 SIGNALS AND SYSTEMS [CHAP 1 analog signal into a discrete-time signal Examples of signals that fall into this category include daily stock market prices, population statistics, warehouse inventories, and the Wolfer sunspot number^.^ 1.2.1 Complex Sequences In general, a discrete-time signal may... straightforward and involves only pointwise operations on the signal Addition The sum of two signals is formed by the pointwise addition of the signal values Multiplication The multiplication of two signals is formed by the pointwise product of the signal values Scaling Amplitude scaling of a signal x ( n ) by a constant c is accomplished by multiplying every signal value by c: y(n)=cx(n) -oo . Preface Digital signal processing (DSP) is concerned with the representation of signals in digital form, and with the processing of these signals and. exercises, etc. 2. Signal processing Digital techniques—Outlines, syllabi, etc. I. Title. II. Title: Theory and problems of digital signal processing. TK5102.H39