数字信号处理双语复习提示

Consider an one dimension signal x (n )，determine and draw the signal flow graph for the N=4

point, radix-2 decimation-in-frequency FFT algorithm of this sequence.

Consider a discrete-time sequenc,is it periodic? If it is, find its fundamental period.

Consider the following discrete systems:

（a） Determine analytically whether these systems are linear. （b）Determine analytically whether these systems are time-invariant.

For the linear and time-invariant system described by the following

system function, determine

（a）The difference equation representation.

（b）The region of convergence and its impulse response sequence h(n) if the given system is a causal system.

（c）The region of convergence and its impulse response sequence h(n) if the given system is a stable system.

（d）The frequency response function if the given system is a stable system.

Given the following sequences:

（a）Determine the 4-point circular convolution ④. （b）Determine the linear convolution.

（c）Determine the minimum N when circular convolution equal to linear convolution.

Design a lowpassIIR/ FIRfilter

The specifications are given as follows: Give the main design steps

Given a system described by the following difference equation: Determine:

(a). The system function .

(b). The region of convergence and its impulse response sequence h(n) if

the given system is a causal system.

(c). The region of convergence and its impulse response sequence h(n) if

the given system is a stable system.

(d). The frequency response function if the given system is a stable system.

Given the first five values of the 8-point DFT of a real-valued sequence x(n):

(a). Determine the 8-point DFT by X(k) using the properties of DFT.

(b). Determine the DFT of the sequence

Determine analytically the DTFT of each of the following sequence

Let x(n)= ，. Determine the odd part and the even part of x(n).