1.4 The following problems relate to the periodicity of signals: (a) Determine the frequency No in rad/s, the corresponding frequency fo in Hz, and the fun- damental period To s of these signals...

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Extracted text: 1.4 The following problems relate to the periodicity of signals: (a) Determine the frequency No in rad/s, the corresponding frequency fo in Hz, and the fun- damental period To s of these signals defined in -∞ < t="">< 00,="" (i)="" cos(271),="" (ii)="" sin(t="" –="" t/4),="" (iii)="" tan(ë1).="" (b)="" find="" the="" fundamental="" period="" t="" of="" zit)="1+sin(t)" +sin(3t),="" –∞="">< t="">< ∞0.="" (c)="" if="" x(t)="" is="" periodic="" of="" fundamental="" period="" to="1," determine="" the="" fundamental="" period="" of="" the="" following="" signals:="" (i)="" y(t)="2+x(1)," (ii)="" w(t)="x(2t)," (iii)="" v(t)="1/x(t)." (d)="" what="" is="" the="" fundamental="" frequency="" fo.="" in="" hz.="" of="" (i)="" x(1)="2" cos(t),="" (ii)="" y(t)="3" cos(271+1/4).="" (iii)="" c(t)="1/" cos(t).="" (e)="" if="" z(t)="" is="" periodic="" of="" fundamental="" period="" to,="" is="" ze(1)="0.5[z(t)+z(-1)]" also="" periodic?="" if="" so="" determine="" its="" fundamental="" period="" to.="" what="" about="" z,(1)="0.5[z(1)" –="" 2(-1)]?="" answers:="" (a)="" (iii)="" the="" frequency="" is="" fo="1/2" hz;="" (b)="" t="27;" (c)="" x(2t)="" has="" fundamental="" period="" 1/2;="" (d)="" c(t)="" has="" fo="1/(2x)" hz;="" (e)="" ze(1)="" is="" periodic="" of="" fundamental="" period="" to.="">