Question

Derive and plot f(t) = g(t) * h(t) using any method of your choosing. Impulse responses: 1. h(t) = ime in 2. h(t) = 8(t) - Le in 1 m 1 m Signal: g(t) = u(t) – uſt – 6m) Which signals are: 1. Lowpass (S dt) like. 2. Highpass () like.

Answer 1

The impulse responses and signals are categorized as lowpass-like and highpass-like, leading to the derivation and plot of the function f(t) = g(t) * h(t).

Step-by-step explanation:

To derive and plot the function f(t) = g(t) * h(t), we first need to understand the impulse responses given. The impulse response h(t) = ime in 2 represents a lowpass-like signal, while the impulse response h(t) = 8(t) - Le in 1 m represents a highpass-like signal.

Next, the signal g(t) = u(t) – uſt – 6m) can be broken down into two steps. The unit step function u(t) represents a lowpass-like signal while the unit step function uſt – 6m) represents a highpass-like signal.

When we multiply a lowpass-like signal with a lowpass-like signal, the resulting signal is also a lowpass-like signal. Similarly, multiplying a highpass-like signal with a highpass-like signal results in a highpass-like signal.