(t+τ)ε(t+τ)—tε(t)—(t—τ)ε(t—τ)+(t—2τ)ε(t—2τ)

It can be seen that the signal is formed by the superposition of the ramp function and its different delay signals, and the ε signal has a fixed time.

The waveform of (t+τ)ε(t+τ) signal is a straight line with a slope of 1, starting from (-τ, 0). Similarly, -t ε (t) is a straight line with a slope of-1 from the origin. When the superimposed waveform of the above two signals is t < 0,

Oblique straight line, where t > 0 is a straight line with height τ, as shown in Figures (a) and (b).

And so on -(t-τ) ε (t-τ) A straight line with a starting point of (τ, 0) and a slope of-1

(t-2τ) ε (t-2τ) is a straight line with a starting point of (2τ, 0) and a slope of 1. The superimposed waveform of the four signals is shown in Figure (c).

Extended data:

There are many kinds of waveforms, and different waveforms have different definitions and measurement methods. Sinusoidal waveform is defined in time domain, but its waveform distortion parameters are expressed by the magnitude of each harmonic component relative to the fundamental wave amplitude in frequency domain after Fourier transform of sinusoidal waveform (see distortion measurement).

The nonlinearity of sawtooth wave refers to the degree to which the actual waveform deviates from the ideal straight line, and the nonlinearity of low-speed sawtooth wave can be measured by accurate sampling at equal intervals. There are many contents of pulse waveform measurement.

In the figure, pulse amplitude and parameters describing the transient characteristics of the system, such as leading edge, overshoot and top drop, are the most common measurement items. Pulse amplitude is usually measured by a calibrated oscilloscope, but due to the influence of the accuracy, nonlinearity and visual subjectivity of the vertical system of the oscilloscope, the measurement accuracy is not too high, especially when the bottom and top of the pulse waveform fluctuate, it is difficult to obtain a unique result.

Baidu Encyclopedia-Waveform