How to sketch Nyquist diagram of $H(z)$ by hand?

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For example, if discrete-time transfer function of the process is $H(z)=z-0.9$ and adjustment interval is $2$ time units. How to sketch Nyquist diagram of $H(z)$ by hand and not using Matlab for help? And how does changing the adjustment interval affects to the diagram? And how to calculate the angular frequency of the endpoint?

Edit: Yes it is digital control.