LTI System Analysis

a₀y[n] + a₁y[n-1] + a₂y[n-2] + ... + a_py[n-p] =

b₀x[n] + b₁x[n-1] + b₂x[n-2] + ... + b_qx[n-q]

JSON data:

{{ systemFile ? systemFile.name : 'Choose file' }} Reload

Orders:

p  =

q  =

Coefficients:

a_{{{ i }}} =

b_{{{ i }}} =

System:

+ - y[n{{ i ? '-' + i : '' }}] {{ c }}y[n{{ i ? '-' + i : '' }}] {{ Math.abs(c) }}y[n{{ i ? '-' + i : '' }}] 0 = + - x[n{{ i ? '-' + i : '' }}] {{ c }}x[n{{ i ? '-' + i : '' }}] {{ Math.abs(c) }}x[n{{ i ? '-' + i : '' }}] 0

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Time Response Simulation:

Plot mode:

stem

Input preset:

δ[n] u[n] Asin[Ωn+Φ] Acos[Ωn+Φ] exp[n] log[n+1] n custom

Input length:

A:

Ω:

2π /

Φ:

Ω ×

Input scaler:

Raise scaler to the power of n:

Reverse:

Input:

---

Output:

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Frequency Response Analysis:

Replot

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Convolution Reverb Demo:

Clap response:

Sample input:

Result:

Reverb