[SOLVED] CSE348 Homework2

Please draw a box around your final resuls.

√

• Compute tan(i) where i = −1.
• Convolve χ_[0,2](t) with tU(t). Evaluate the integrals and plot the result.
• Compute the Fourier transform of te^−3tU(t). Hint: Use an integral table to evaluate the integral..
• Let us have a function f(t) whose Fourier transform is F(ω). Prove that the Fourier transform of
• Consider a signal f(t) whose Fourier Transform is f(ω) = χ_[−100,100](ω). We want to sample this signal. What is the lowest rate of sampling we can use if we dont want any aliasing?
• Filter the signal

1 2 4 1 2 0 4 3

1 1 1 1

1 0 4 2

with the filter

1 0 1 0 2 0 1 0 1

Use zero boundary conditions.