sp-z-transform-convolution-for github.ipynb

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    "### Signal Processing\n",
    "#### Z-transform and its relation to convolution:\n",
    "$ y[n]=x[n]*h[n] $\n",
    "<br>$Y(z)=X(z)H(z) $\n",
    "<hr>\n",
    "https://github.com/ostad-ai/Signal-Processing\n",
    "<br> Explanation: https://www.pinterest.com/HamedShahHosseini/Signal-Processing"
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   "source": [
    "import numpy as np"
   ]
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     "text": [
      "The convolution in z-domain: Y(z)=X(z)H(z)\n",
      "x= [1, 2, 2, 1]\n",
      "h= [-1, 0, 1]\n",
      "x*h= [-1. -2. -1.  1.  2.  1.]\n"
     ]
    }
   ],
   "source": [
    "# computing convolution with polynomial multiplication in Z-domain\n",
    "def X_convolve_H(x,h):\n",
    "    return np.polynomial.polynomial.polymul(x,h)\n",
    "x=[1,2,2,1]\n",
    "h=[-1,0,1]\n",
    "print('The convolution in z-domain: Y(z)=X(z)H(z)')\n",
    "print('x=',x)\n",
    "print('h=',h)\n",
    "print('x*h=',X_convolve_H(x,h))"
   ]
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