Concept Flashcards

Concept Flashcards#

What are the three ways we can represent an electrical signal?
  1. An equation

  2. A time-domain waveform

  3. An amplitude spectrum (frequency-domain representation)

What is the frequency-domain representation of a signal?

A plot of amplitude versus frequency that shows the signal’s frequency content.

What two pieces of information are required to draw an amplitude spectrum of a sinusoid?

Amplitude and frequency.

Write the relationship between period and frequency.
\[ T = \frac{1}{f} \]
How is a DC signal represented in the frequency domain?

As a vertical spike at \(0\ \text{Hz}\).

Why does a DC signal appear at 0 Hz in the spectrum?

Because it does not change with time, meaning its frequency is \(0\ \text{Hz}\).

Write the bandwidth equation.
\[ \text{BW} = f_{\text{high}} - f_{\text{low}} \]
When is the lowest frequency of a signal equal to 0 Hz?

When the signal contains a DC bias.

What is bandwidth in ECE 315?

The range of frequencies contained in a signal or passed by a system.

What does an ideal filter do?

It passes frequencies within its passband without changing amplitude or phase and completely removes frequencies outside the passband.

What does a Low Pass Filter (LPF) allow to pass?

Frequencies below the cutoff frequency \(f_{\text{c/o}}\).

What does a High Pass Filter (HPF) allow to pass?

Frequencies above the cutoff frequency \(f_{\text{c/o}}\).

What does a Band Pass Filter (BPF) allow to pass?

Frequencies between \(f_{\text{c/o,1}}\) and \(f_{\text{c/o,2}}\).

What does a Band Reject Filter (BRF) block?

Frequencies between \(f_{\text{c/o,1}}\) and \(f_{\text{c/o,2}}\).

Why are frequency-domain graphs often more useful than time-domain graphs for complex signals?

Because they clearly show the individual frequency components and make it easier to determine bandwidth and filtering effects.