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4. For the ring modulator that generates a pulse train as shown below: m(t) a b D1 D2 D3 D4 Bandpass filter km(t) cos ?t A cos ?t (a) wo(t) (b) m(t) v_i = m(t)wo(t) (c) (d) a. [30 points] Derive and express the pulse train wo(t) in compact Fourier series, similar to what we did in the class for the switching modulation. Recall that switching modulation uses a different pulse train. b. [10 points] Based on your result from Part a, express vi(t), the input signal into the band-pass filter. c. [10 points] What should be the cutoff frequency of the band-pass filter? What is the value of k here?

          4. For the ring modulator that generates a pulse train as shown below:
m(t)
a
b
D1
D2
D3
D4
Bandpass
filter
km(t) cos ?t
A cos ?t
(a)
wo(t)
(b)
m(t)
v_i = m(t)wo(t)
(c)
(d)
a. [30 points] Derive and express the pulse train wo(t) in compact Fourier series, similar to what we did in
the class for the switching modulation. Recall that switching modulation uses a different pulse train.
b. [10 points] Based on your result from Part a, express vi(t), the input signal into the band-pass filter.
c. [10 points] What should be the cutoff frequency of the band-pass filter? What is the value of k here?

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4. For the ring modulator that generates a pulse train as shown below:
m(t)
a
b
D1
D2
D3
D4
Bandpass
filter
km(t) cos ?t
A cos ?t
(a)
wo(t)
(b)
m(t)
vi = m(t)wo(t)
(c)
(d)
a. [30 points] Derive and express the pulse train wo(t) in compact Fourier series, similar to what we did in
the class for the switching modulation. Recall that switching modulation uses a different pulse train.
b. [10 points] Based on your result from Part a, express vi(t), the input signal into the band-pass filter.
c. [10 points] What should be the cutoff frequency of the band-pass filter? What is the value of k here?

Added by Diamond M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

Step 1

To derive the pulse train wo(t) in compact Fourier series, we need to express it as a sum of sinusoidal functions with different frequencies and amplitudes. The pulse train wo(t) can be expressed as: wo(t) = Σ[An * cos(nωt + φn)] where An is the amplitude of Show more…

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please please clear handwritten and organized answer, and photo 4.For the ring modulator that generates a pulse train as shown below: D Bandpas filter km(r)coso (a) (b) =m(two(r a. [30 points] Derive and express the pulse train wo(t) in compact Fourier series, similar to what we did in the class for the switching modulation. Recall that switching modulation uses a different pulse train. b.[10 points] Based on your result from Part a,express vit),the input signal into the band-pass filter. c. [10 points] What should be the cutoff frequency of the band-pass filter? What is the value of k here?

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