Digital signal processing experiment I system response and system stability

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send out ： Response and stability
Get full report （ Including source code + result + Thinking questions ）

One 、 The experiment purpose
1. Master the method of seeking system response .
2. Master the time-domain characteristics of time-domain discrete systems .
3. analysis 、 Observe and verify the stability of the system .

Two 、 Experiment contents and steps
1. Given a low-pass filter , The difference equation is

Input signal ,

（1） Find out separately and System response , And draw its waveform .
（2） Find out the unit impulse response of the system , Draw its waveform .

2. The unit impulse response of a given system is

Use the linear convolution method to find Respectively for and Output response of , And draw the waveform .

3. The difference equation of a given resonator is
Make , The resonant frequency of the resonator is .
（1） Check whether the system is stable by experiment . The input signal is when , Draw the system output waveform .
（2） The given input signal is , Find the output response of the system , And draw its waveform .

3、 ... and 、 Program code and running results
Experimental content 1.
1. Program code （ See report for details ）
2. experimental result ：

3. Analysis and discussion （ See report for details ）

Experimental content 2
1. Program code （ See report for details ）
2. experimental result ：

3. Analysis and discussion （ See report for details ）

Experimental content 3
1. Program code （ See report for details ）
2. experimental result ：

3. Analysis and discussion （ See report for details ）

Four 、 Thinking questions （ See report for details ）

5、 ... and 、 Computer experience
1. Programming languages are not complicated , But we must take it seriously , Need to pay attention to detail .
2. Learning cannot be copied , immutable and frozen , We should have our own understanding of different situations and deal with them appropriately . At first, when programming with reference to the code in the textbook , Copied one of them filtic function , But in fact, the initial state has been assumed to be 0, No need to use this function .