一、了解MATLAB语言的背景知识 二、掌握MATLAB安装的方法过程 三、掌握MATLAB基本窗口的使用 四、掌握MATLAB语言的基础知识

3.1 Discrete-Time Fourier Transform Definition- The discrete-time Fourier transform (DTFT) X(eio) of a sequence x[n] is given by jae In general,() is a complex function of the real variable and can be written as X(eio) Xre(eio) +j Xim(eio)

MATLAB® is a high-level language that includes matrix-based data structures, its own internal data types, an extensive catalog of functions, an environment in which to develop your own functions and scripts, the ability to import and export to many types of data files, object-oriented programming capabilities, and interfaces to external technologies such as COM, Java, programs written in C and Fortran, and serial port devices

◆Signal processing is benefited from a close coupling between theory, application, and technologies for implementing signal processing systems. ◆Signal processing deals with the representation, transformation, and manipulation of signals and the information they contain

Comb Filters The simple filters discussed so far are characterized either by single passband and/or a single stopband There are applications where filters with multiple passbands and stopbands are required The comb filter is an example of such filters Copyright 2001, S. K. Mitra

4.0 Introduction 4.1 Periodic Sampling 4.2 Frequency-Domain Representation of Sampling 4.3 Reconstruction of a Bandlimited Signal from its Samples 4.4 Discrete-Time Processing of Continuous Time signals 4.5 Continuous-time Processing of Discrete Time Signal

Discrete-Time Signals: Time-Domain Representation Signals are represented as sequences of numbers, called samples Sample value of a typical signal or sequence denoted as x[n] with n being an integer in the range-∞≤n≤∞ ·x[n] defined only for integer values of and undefined for non-integer values

2.1 Discrete-Time Signals: Time-Domain Representation Signals represented as sequences of numbers, called samples Sample value of a typical signal or sequence denoted as x[n] with n being an integer in the range-oo≤n≤∞ x[n] defined only for integer values of n and undefined for noninteger values of n Discrete-time signal represented by {x[n]}

Later in the course we shall review various methods of designing frequency-selective filters satisfying prescribed specifications · We now describe several loworder- FIR and IIR digital filters with reasonable selective frequency responses that often are satisfactory in a number of applications Copyright 2001, S. K. Mitra

§3.1 Discrete-Time Fourier Transform §3.2 DTFT Properties §3.3 Discrete Fourier Transform (DFT) §3.5 Circular Shift of a Sequence §3.6 Circular Convolution §3.7 z-transform §3.8 z-Transform Properties §3.9 Discrete Fourier Transform Computation