The effect of aliasing seen as the poles of the z-transform of sinusoids

A (continuous-time) sinusoid $f(t)=\sin(\omega t),\, t \ge 0$ is sampled with the sampling period $h$, resulting in the discrete-time sinusoid $$f(kh)=\sin(\omega h k), \, k=0,1,2,\ldots.$$ The z-transform of the discrete-time sinuisoid is $$F(z) = \frac{z\sin(\omega h)}{z^2 - 2\cos(\omega h)z + 1} = \frac{z\sin(\omega h)}{(z - \mathrm{e}^{i\omega h})(z - \mathrm{e}^{-i\omega h})},$$ with poles in $z=\mathrm{e}^{\pm i \omega h}$ on the unit circle. We thus associates a set of two complex-conjugated poles on the unit circle in the z-plane with argument (phase) $\omega h$ with a sinusoid of the frequency $\omega$. Note alos that for a given frequency $\omega$, the exact position of the poles on the unit circle depends on the value of the sampling period $h$.

Next we consider the sampling period $h$ fixed, and look at the discrete representation of different frequencies $\omega$. Since the infinite set of continuous-time frequencies $0 \le \omega < \infty$ maps to the finite-length unit circle it is clear that frequencies above $\omega_N=\frac{\pi}{h}$, the Nyquist frequency, correspond to sets of complex-conjugated poles that are identical to those of some lower frequency below $\omega_N$. This is the aliasing effect when sampling signals.

To find the lowest alias frequency of some frequency $\omega_1$, we can use the expression $$ \omega = \left| \big( (\omega_1 + \omega_N) \, \text{mod}\, \omega_s\big) - \omega_N\right|$$ (equation 7.10 in the textbook). For instance, with a sampling period of $h=0.1$, we have a sampling frequency of $\omega_s = \frac{2\pi}{h} = 20\pi \approx 62.8$ rad/s, and a Nyquist frequency of $\omega_N = \frac{\pi}{h} = 10\pi \approx 31.4$ rad/s. The frequency $\omega_1 = 50$ will then have the the alias frequency $$\omega = \left| \big( (50 + 31.4) \, \text{mod}\, 62.8\big) - 31.4\right| = 12.8$$


In [10]:
h = 0.1
ωN = π/h
ωs = 2π/h
ω1  = 50
ωAlias = abs( ( (ω1 + ωN) % ωs) - ωN)
ωAlias


Out[10]:
12.831853071795855

In [3]:
Pkg.update()
Pkg.add("Interact")
Pkg.add("Plots")
Pkg.add("ControlSystems")


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Stacktrace:
 [1] depwarn(::String, ::Symbol) at ./deprecated.jl:70
 [2] @dep_vectorize_1arg(::ANY, ::ANY) at /home/kjartan/.julia/v0.6/Compat/src/deprecated.jl:18
 [3] include_from_node1(::String) at ./loading.jl:576
 [4] include(::String) at ./sysimg.jl:14
 [5] include_from_node1(::String) at ./loading.jl:576
 [6] include(::String) at ./sysimg.jl:14
 [7] anonymous at ./<missing>:2
 [8] eval(::Module, ::Any) at ./boot.jl:235
 [9] process_options(::Base.JLOptions) at ./client.jl:286
 [10] _start() at ./client.jl:371
while loading /home/kjartan/.julia/v0.6/Colors/src/algorithms.jl, in expression starting on line 152
WARNING: Implicit vectorized function is deprecated in favor of compact broadcast syntax.
Stacktrace:
 [1] depwarn(::String, ::Symbol) at ./deprecated.jl:70
 [2] @dep_vectorize_1arg(::ANY, ::ANY) at /home/kjartan/.julia/v0.6/Compat/src/deprecated.jl:18
 [3] include_from_node1(::String) at ./loading.jl:576
 [4] include(::String) at ./sysimg.jl:14
 [5] include_from_node1(::String) at ./loading.jl:576
 [6] include(::String) at ./sysimg.jl:14
 [7] anonymous at ./<missing>:2
 [8] eval(::Module, ::Any) at ./boot.jl:235
 [9] process_options(::Base.JLOptions) at ./client.jl:286
 [10] _start() at ./client.jl:371
while loading /home/kjartan/.julia/v0.6/Colors/src/algorithms.jl, in expression starting on line 153
WARNING: Implicit vectorized function is deprecated in favor of compact broadcast syntax.
Stacktrace:
 [1] depwarn(::String, ::Symbol) at ./deprecated.jl:70
 [2] @dep_vectorize_1arg(::ANY, ::ANY) at /home/kjartan/.julia/v0.6/Compat/src/deprecated.jl:18
 [3] include_from_node1(::String) at ./loading.jl:576
 [4] include(::String) at ./sysimg.jl:14
 [5] include_from_node1(::String) at ./loading.jl:576
 [6] include(::String) at ./sysimg.jl:14
 [7] anonymous at ./<missing>:2
 [8] eval(::Module, ::Any) at ./boot.jl:235
 [9] process_options(::Base.JLOptions) at ./client.jl:286
 [10] _start() at ./client.jl:371
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INFO: Package Interact is already installed
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In [4]:
using Interact


Plots solution


In [5]:
using Plots

In [11]:
h = 0.1;
tmax = 1.5;
ωs = 2π/h; # Sampling frequency
ωN = π/h;  # Nyquist frequency
N = 1200; # Number of samples
gr(size=(1000,500), html_output_format=:png)
tc = collect(linspace(0, tmax, N)); # Finely grained "continuous" time vector
td = collect(0:0.1:tmax); # Discrete time vector
@manipulate for ω in 0:0.2:ωs
    yc = sin.(ω*tc);
    yd =  sin.(ω*td)
    stp = plot(tc, yc, lw=2);
    plot!(stp, td, yd, line=:stem, marker=:dot, markersize=7)
    pp = plot(cos.(ω*h)*[1, 1], sin.(ω*h)*[1, -1], seriestype=:scatter, 
        markersize=7)
    plot!(pp,cos.(linspace(0,2π,300)), sin.(linspace(0,2π,300)))
  
    plot(stp, pp,layout=(1,2),legend=false)
end


Out[11]:
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\\&quot; 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\\&quot; /&gt;&quot;},&quot;nodeType&quot;:&quot;DOM&quot;,&quot;type&quot;:&quot;node&quot;,&quot;instanceArgs&quot;:{&quot;namespace&quot;:&quot;html&quot;,&quot;tag&quot;:&quot;div&quot;},&quot;children&quot;:[]}]})</unsafe-script>"},"nodeType":"DOM","type":"node","instanceArgs":{"namespace":"html","tag":"div"},"children":[]}]}]})

Gadfly solution


In [ ]:
using Gadfly
Gadfly.set_default_plot_size("28cm", "20cm")

h = 0.1;
N = 1200; # Number of samples

tc = collect(linspace(0, 1, N)); # Finely grained "continuous" time vector
td = collect(0:0.1:1); # Discrete time vector
Gadfly.set_default_plot_size(15, 8)
@manipulate for ω in 1:1:40
    yc = sin.(ω*tc);
    yd =  sin.(ω*td)
    stp = plot(layer(x=tc, y=yc, Geom.line,
            Gadfly.style(line_width=2Gadfly.pt,  
                minor_label_font_size=16Gadfly.pt)
        ),
    layer(x=td, y=yd, Geom.hair, Geom.point, 
            Gadfly.style(line_width=2Gadfly.pt,
                    major_label_font_size=12Gadfly.pt), 
            Gadfly.Theme(default_color="orange", point_size=4Gadfly.pt)),
        Guide.xlabel("time [s]"), Guide.ylabel("y"), 

    )
    pp = plot(layer(x = cos.(ω*h)*[1, 1], y=sin.(ω*h)*[1, -1], Geom.point,
            Gadfly.Theme(default_color="orange", point_size=6Gadfly.pt)), 
            layer(x=cos.(linspace(0,2π,300)), y=sin.(linspace(0,2π,300)), 
                Geom.path),
                Guide.xlabel("Re"), Guide.ylabel("Im"), 
                Coord.cartesian(xmin=-1.2, xmax=1.2, ymin=-1.2, ymax=1.2, 
                aspect_ratio=1),
               Gadfly.style(line_width=2Gadfly.pt, 
                    major_label_font_size=12Gadfly.pt), size=(700,700)
    )
    fig1 = hstack(stp, pp)

end

In [ ]:


In [ ]: