**Author details**

**7. Discussion**

116 Fourier Transforms - High-tech Application and Current Trends

using LTSpice VI.

were 8‐bit long.

In order to maintain practical relevance of the approach, all the results mentioned in the pre‐ vious section are based on device parameters from 90 nm TSMC process. HP memristor mod‐ els with *R* ON = 100 Ω and *R* OFF = 100 k Ω were used and all the simulations were carried out

**Figure 20.** LSB of the output of the FFT unit is shown as sum. Carry and Cout of the LSB are also shown.

From the results shown in the previous section, it can be seen that the proposed logic family is clearly of advantage when we are trying to implement large input circuits. The comparison of propagation delay of the logic gates showed that the memristor‐based resis‐ tive threshold logic family can be used to implement brain‐like large input logic functions. Moreover, it gives a clear advantage in terms of the total harmonic distortion also. After the successful implementation of the new logic family, it was used to implement a circuit that could compute the fast Fourier transform of the given set of inputs. A four‐point FFT circuit was implemented. It can take in four inputs at a time and give four FFT outputs. The circuit can handle complex numbers and the complex inputs were separated into real and imaginary part for the easy computation. All the inputs considered in this project Alex Pappachen James

Address all correspondence to: apj@ieee.org

Bioinspired Microelectronic Systems Lab, School of Engineering, Nazarbayev University, Astana, Republic of Kazakhstan
