Frequency

Shift of the signal spectrum to the desired frequency

Shift of the signal spectrum to the desired frequency
  1. How do you shift a signal in the frequency domain?
  2. What is the frequency shifting?
  3. What causes frequency shift?
  4. What is the frequency spectrum of a signal?

How do you shift a signal in the frequency domain?

Multiplying a function with a complex exponential with period t0=1/f0, corresponds to shifting the frequency domain by 1/t0=f0.

What is the frequency shifting?

This phenomenon is known as “frequency shifting”, where the term “up- conversion” refers to the process of shifting a lower frequency tone to the upper frequency range (used in RF transmitters), while “down-conversion” refers to the frequency shifting from higher to lower frequency ranges (used in RF receivers).

What causes frequency shift?

Frequency translation is a phenomenon that results in a frequency shift whereby all frequency components in the modulated signal are shifted by a constant amount. It is generally due to oscillator drift or frequency offset in the carrier wave equipment.

What is the frequency spectrum of a signal?

Frequency spectrum of a signal is the range of frequencies contained by a signal. For example, a square wave is shown in Fig. 3.5A. It can be represented by a series of sine waves, S(t) = 4A/π sin(2πft) + 4A/3π sin(2π(3f)t) + 4A/5π sin(2π(5f)t + …)

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