Figure 4 Analog Filter Design

Take the block for analog filter simulation from Signal Processing Blockset\ Filtering\Filter Designs\ Analog Filter Design

Define Main properties for low pass Butterworth filter:

• Design method – Butterworth Filter;

• Filter type – low pass;

• Filter order – 2.

To generate a harmonic signal use Signal Generator block from Simulink\Sources Library. Open Signal Generator block parameters and define the following parameters

• Wave form;

• Amplitude и Frequency;

• Units – set units to rad/sec.

Type of the harmonic signal is given below by y.

a) Generate a signal that has the following form

y=K₀·2·sinω+noise,

where the sine wave frequency is equal to ω=20 rad/sec. Apply the filtering via Butterworth filter.

b) Generate a signal than involves a low period and high period components, respectively. Hence, the signal y takes the following form

y=K_0··(2·sinω₁+2· sinω₂),

with ω₁=20 rad/sec and ω₂=80 rad/sec.

Apply the simulation according to individual variants (see Table 3): Butterworth approximation, cut-off frequency ω_с; gain K₀. Set the simulation time to 5.

Table 3

Initial data for analog filter design

Varian	1	2	3	4	5	6
ωс, rad/sec	30	30	30	30	30	30
K0	1	2	3	4	5	6