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DIGITAL SIGNAL PROCESSING - Assoc. Prof. Dr. Nguyen Huu Phuong

Signals represent information about data, voice, audio, image, video There are many ways to classify signals but here we categorize signals as either analog (continuous-time) or digital (discretetime). Signal processing is to use circuits and systems (hardware and software) to act on input signal to give output signal which differs from the input, the way we would like to. Digital systems have many advantages over analog such as noise immunity, easiness of storage and transmission To convert an analog signal to a digital equivalence we first sample it at regular intervals, quantize the samples, then code the quantized values into binary numbers. If only the sampling is. | ĩ Ễ Ễ Ễ Ễ Ễ Ễ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ ị UNIVERSITY OF SCIENCE FACULTY OF ELECTRONICS TELECOMMUNICATION DIGITAL SIGNAL PROCESSING Assoc. Prof. Dr. Nguyen Huu Phuong EDITION SEP 2012 ĩ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ Ỷ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ T ĩ ị 1 CHAPTER 1 DISCRETE - TIME SIGNALS AND SYSTEMS Signals represent information about data voice audio image video. There are many ways to classify signals but here we categorize signals as either analog continuous-time or digital discretetime . Signal processing is to use circuits and systems hardware and software to act on input signal to give output signal which differs from the input the way we would like to. Digital systems have many advantages over analog such as noise immunity easiness of storage and transmission. To convert an analog signal to a digital equivalence we first sample it at regular intervals quantize the samples then code the quantized values into binary numbers. If only the sampling is used we obtain discrete - time signals. But to process signals in digital systems such as computers we ought to go through all three steps. Usually the last two steps quantization and binary encoding are understood then the terms discrete-time and digital are equivalent and interchangeable. Thus Digital signal processing DSP and discrete - time signal processing DTSP usually mean the same thing. Besides signals that we honor there are many unwelcome elements such as noise interference jitter . that should be eliminated or minimized. Systems can be just simple logic circuits simple programmes up to complex structures including both hardware and software such as computers. We will discuss various types of digital systems of which the linear and time invariant LTI ones are usually assumed. Typical systems are filters. 1.1 CONTINUOUS - TIME SIGNALS A signal is the variation of an amplitude with time. The .