help with python coding

printed:-

(A) Using fs = 4000 Hz, create a time vector t for the range [0, 500ms). Use t to create the signal x1 corresponding to x1(t) from part 1 of the prelab.

(B) Define a filter for a first-order system using the parameters you found in the pre-lab, part 1 (We

will be using Nfft=8192 throughout this lab). Using the signal.freqresp function, find the frequency

response of the system and plot the magnitude |H(j)| and phase in side-by-side (1 2) plots. For

the magnitude, create the plot with overlayed version of standard magnitude and magnitude with a

dB scale (20 log10 |H(j)|), specifically with the left axis corresponding to the linear amplitude and

the right to dB. Label the frequency axis using frequency in rad/s.

(C) Using the signal.lsim function, find the output y1 that is the response of the system to x1. Create a

new plot, and plot x1 and y1 together on the same plot. Confirm that the resulting signal matches

what you expect from the pre-lab in terms of changes in amplitude and phase (associated with using

a non-ideal filter).

prelab q's:

(a) Suppose a real-valued LTI filter has the frequency response as H(j) = a

a+j .

i. Find the magnitude response |H(j)|. Draw a sketch of |H(j)| vs. and label the axes

when a = 200.

ii. Based on your sketch in (i), classify the filter type.

iii. What are the filter coefficients b and a for the function signal.lsim?

(b) Consider an input signal x1(t) = cos(100t). Is this input in the pass-band of the given filter? Find

the corresponding response y1(t) of the filter to this input.

(c) If you implement x1(t) using Python with fs = 4000 Hz for 500 ms, what is the length of the

time vector?

--answers on second ohoto

In this Assignment, well implement and analyze a continuous-time filter using the Python scipy signal package. Write your code in a new cell for Assignment 1. inside your Lab 6 notebook. (A) Using fs = 4000 Hz, create a time vector for the range (0,500ms). Use t to create the signal 11 corresponding to 2.(t) from part 1 of the prelab. (B) Define a filter for a first-order system using the parameters you found in the pre-lab, part 1 (We will be using Nfft=8192 throughout this lab). Using the signal frepresp function, find the frequency response of the system and plot the magnitude | H(jw) and pluse in side-by-side (1 x 2) plots. For the magnitude, create the plot with overlayed version of standard magnitude and magnitude with a dB scale (2010510 HOW!), specifically with the left axis corresponding to the lincar amplitude and the right to dB. Label the frequency axis using frequency in rad/s. (C) Using the signal,Isim function, find the outputy that is the response of the system to n. Create a new plot, and plot 1 and together on the same plot. Confirm that the resulting signal matches what you expect from the pre-lab in terms of changes in amplitude and phase (associated with using a non-ideal filter). From Prelabi X, (t) = cos(loot) ,Y, (t) = 0.8944 cos (1006) HOW) = 6.3944 fs = 4000 Hz for sooms Length of time vector = 500 wl angle: 0.25 44+0.894 cos (100+) - 26.5809) + - 2001 In this Assignment, well implement and analyze a continuous-time filter using the Python scipy signal package. Write your code in a new cell for Assignment 1. inside your Lab 6 notebook. (A) Using fs = 4000 Hz, create a time vector for the range (0,500ms). Use t to create the signal 11 corresponding to 2.(t) from part 1 of the prelab. (B) Define a filter for a first-order system using the parameters you found in the pre-lab, part 1 (We will be using Nfft=8192 throughout this lab). Using the signal frepresp function, find the frequency response of the system and plot the magnitude | H(jw) and pluse in side-by-side (1 x 2) plots. For the magnitude, create the plot with overlayed version of standard magnitude and magnitude with a dB scale (2010510 HOW!), specifically with the left axis corresponding to the lincar amplitude and the right to dB. Label the frequency axis using frequency in rad/s. (C) Using the signal,Isim function, find the outputy that is the response of the system to n. Create a new plot, and plot 1 and together on the same plot. Confirm that the resulting signal matches what you expect from the pre-lab in terms of changes in amplitude and phase (associated with using a non-ideal filter). From Prelabi X, (t) = cos(loot) ,Y, (t) = 0.8944 cos (1006) HOW) = 6.3944 fs = 4000 Hz for sooms Length of time vector = 500 wl angle: 0.25 44+0.894 cos (100+) - 26.5809) + - 2001