LTI-System with square-signal (6MHz) and RC-Lowpass filter

This image illustrates the output signal of an RC low-pass filter (10 MHz cutoff frequency).The input square wave signal of 6 MHz (blue) and the output signal (black) are shown.

• Filters are linear time-invariant (LTI) systems. LTI systems are both linear and time-invariant.
• Linearity means that the output of a linear combination of inputs is proportional to the combination of individual responses to those inputs.
• Time-invariance means that the output is independent of when an input was applied.
• These properties make LTI systems easy to understand and describe using transfer functions and impulse responses.
• The formula shows the convolution of the input signal and impulse response resulting in the output signal.
• An important application of LTI systems are filters in electrical circuits.

Formula: $\mathrm{f[n]}=\mathrm{a[n]}*\mathrm{b[n]}=\sum _{\mathrm{k=\; -\infty }}^{\mathrm{\infty }}\mathrm{a[k]}·\mathrm{b[n\; -\; k]}$"

ClearTitle: LTI-System with square-signal (6MHz) and RC-Lowpass filter

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This image has been created using this labAlive app:

lti-square-6MHz-rc-lowpass-10MHz-v1