diff --git a/Assignment1_211.pdf b/Assignment1_211.pdf index 7ed5d10..4266de7 100644 Binary files a/Assignment1_211.pdf and b/Assignment1_211.pdf differ diff --git a/Assignment1_211.tex b/Assignment1_211.tex index 4f5ef2b..7f14d13 100644 --- a/Assignment1_211.tex +++ b/Assignment1_211.tex @@ -154,7 +154,7 @@ c_4 &= c_1 + c_2 \begin{align*} c_5 &= c_1 \cdot c_2 = \left(\sqrt{34}\, e^{-j\,0.54}\right)\left(\frac{\sqrt{2}}{2} e^{-j \frac{3 \pi}{4}}\right) -\approx \frac{\sqrt{70}}{2} e^{-j\,2.8961} \\ +\approx \sqrt{17} e^{-j\,2.8961} \\ \end{align*} \begin{align*} @@ -276,11 +276,11 @@ y_1(t) \ne y_2(t) \[ - y_1(t) &= \left(x(t - \alpha)\right)^2 \\ + y_1(t) &= \left(x(t - \Delta)\right)^2 \\ \] \[ - y_2(t) &= y_1(t - \Delta) = \left(x(t - \alpha)\right)^2 \\ + y_2(t) &= y_1(t - \Delta) = \left(x(t - \Delta)\right)^2 \\ \] \[ @@ -290,18 +290,18 @@ y_1(t) \ne y_2(t) \[ \implies \text{Time invariant} \] - \item $y(t) = w(t) sin(\Omega_0 t)$ + \item $y(t) = x(t) sin(\Omega_0 t)$ \[ - y(t) &= x(t) \sin(n \Omega_0 t) \\ + y(t) &= x(t) \sin(\Omega_0 t) \\ \] \[ - y_1(t) &= \left( \alpha \, x(t) \sin(n_1 \omega t) \right) + \left( \beta \, x(t) \sin(n_0 t) \right) \\ + y_1(t) &= \left( \alpha \, x(t) \sin(\Omega_0 t) \right) + \left( \beta \, x(t) \sin(\Omega_0 t) \right) \\ \] \[ - y_t(t) &= \alpha \left( x(t) \sin(n_1 \omega t) \right) + \beta \left( x(t) \sin(n_0 t) \right) \\ + y_t(t) &= \alpha \left( x(t) \sin(\Omega_0 t) \right) + \beta \left( x(t) \sin(\Omega_0 t) \right) \\ \] \[ @@ -316,11 +316,11 @@ y_1(t) \ne y_2(t) \[ - y_1(t) &\coloneqq x(t - \alpha) \sin(\omega_0 t - \alpha) \\ + y_1(t) = &\coloneqq x(t - \Delta) \sin(\Omega_0 t - \Delta) \\ \] \[ - y_2(t) &= y_1(t - \alpha) = x(t - \alpha) \sin(\omega_0 t - \alpha) \\ + y_2(t) &= y_1(t - \Delta) = x(t - \Delta) \sin(\Omega_0 t - \Delta) \\ \] \[ diff --git a/Assignment1_211.zip b/Assignment1_211.zip new file mode 100644 index 0000000..bbc4c7f Binary files /dev/null and b/Assignment1_211.zip differ