2. 3. 1 Discrete Fourier Transform DFT) Conclusion: For a periodic x(t the spectrum X( is bound to be discrete and vice versa ☆lfx() is nonperiodic,then×(is continuous, and vice versa the case shown in Fig. 2. 64 (d)where both the time and frequency signals are discrete and periodic provides us with the possibility of using a computer to implement spectrum analysisConclusion: ❖For a periodic x(t) the spectrum X(f) is bound to be discrete, and vice versa. ❖If x(t) is nonperiodic, then X(f) is continuous, and vice versa. ❖The case shown in Fig. 2.64 (d) where both the time and frequency signals are discrete and periodic provides us with the possibility of using a computer to implement spectrum analysis. 2.3.1 Discrete Fourier Transform (DFT)