Texas Instruments Signal Processing Interview Questions, Process, and Tips

Fourier series is a mathematical representation of a periodic function as a sum of sine and cosine functions.

• Fourier series is used to analyze and synthesize periodic signals.

• It decomposes a periodic function into a sum of sine and cosine functions with different frequencies and amplitudes.

• The Fourier coefficients represent the amplitude and phase of each frequency component.

• The Fourier series can be used to approximat...read more

Yes, the resultant wave will be periodic with a period equal to the least common multiple of the two frequencies.

• The period of the resultant wave is determined by the least common multiple of the two frequencies.

• If the frequencies are incommensurable, the resultant wave will not be periodic.

• If the frequencies are harmonically related, the resultant wave will have a period equal to the fundamental period of the lower fr...read more

Odd harmonics represent asymmetry in a signal while even harmonics represent symmetry.

• Odd harmonics are multiples of the fundamental frequency and have a phase shift of 90 degrees.

• Even harmonics are also multiples of the fundamental frequency but have a phase shift of 0 degrees.

• Odd harmonics represent the asymmetry in a signal, while even harmonics represent the symmetry.

• For example, a square wave has odd harmonics onl...read more

Aliasing occurs when a signal is sampled at a rate lower than the Nyquist rate, resulting in distorted or incorrect signal representation.

• Nyquist sampling theorem states that a signal must be sampled at a rate at least twice its highest frequency component to avoid aliasing.

• Aliasing can be avoided by using a low-pass filter to remove high-frequency components before sampling.

• Examples of aliasing include the wagon-wheel...read more

Sampling a sine wave at 1.5 times its original frequency retains the original wave.

• The original wave can be reconstructed using interpolation techniques.

• The Nyquist-Shannon sampling theorem states that a signal can be perfectly reconstructed if it is sampled at twice its highest frequency component.

• Sampling at 1.5 times the original frequency satisfies the Nyquist-Shannon sampling theorem.

• This technique is used in digi

I learned the importance of communication, delegation, and trust in effective leadership.

• Effective communication is key to ensuring everyone is on the same page

• Delegating tasks allows for better time management and skill utilization

• Trust in team members fosters a positive work environment and encourages growth

• Leading by example sets the tone for the team's work ethic

• Being open to feedback and constructive criticism hel

The project helped us understand the effectiveness of deep learning models in speech recognition.

• Explored various deep learning models for speech recognition

• Evaluated the performance of each model using metrics like accuracy and F1 score

• Identified the best performing model and its optimal hyperparameters

• Learned about the importance of data preprocessing and augmentation

• Gained insights into the challenges and limitation

I am more interested in electrical related companies.

• I have a background in electrical engineering.

• I enjoy working with technology and innovation.

• I am interested in companies that are pushing the boundaries of what is possible.

• Examples of companies I am interested in include Tesla, SpaceX, and Intel.

Reliable

• Always there for my friends

• Consistent in my actions and words

• Trustworthy and dependable

The question asks to implement a block diagram for a given transfer function in the form of a/b.

• Identify the numerator and denominator polynomials of the transfer function

• Draw blocks for each polynomial term, representing multiplication and addition operations

• Connect the blocks according to the transfer function equation

• Include any necessary delays or feedback loops

• Label the inputs and outputs of the block diagram

No

• The system is not stable because the transfer function has a pole at z = 1

• A stable system should have all poles inside the unit circle in the z-plane

• In this case, the pole at z = 1 lies on the unit circle, making the system marginally stable

IIR and FIR filters are two types of digital filters used in signal processing.

• IIR (Infinite Impulse Response) filters use feedback to create a response to an input signal.

• FIR (Finite Impulse Response) filters only use feedforward and have a finite duration of response.

• IIR filters can be implemented with fewer coefficients but may be less stable than FIR filters.

• FIR filters have linear phase response and are generally ...read more

The sampling theorem states that a signal must be sampled at a rate at least twice its bandwidth to avoid aliasing.

• The sampling theorem is also known as the Nyquist-Shannon sampling theorem.

• Sampling at a rate slightly more than twice the bandwidth ensures that all the information in the signal is captured without distortion.

• If the sampling frequency is too low, aliasing can occur, where high-frequency components are in...read more

DTFT is a continuous function that represents the frequency content of a discrete-time signal, while DFT is a discrete function that represents the frequency content of a finite-length sequence.

• DTFT is defined for both finite and infinite-length signals, while DFT is only defined for finite-length sequences.

• DTFT is a continuous function in frequency domain, while DFT is a discrete function in frequency domain.

• DTFT prov...read more

The output sequence y[n] can be obtained by convolving the input sequence x[n] with the impulse response h[n] = [1, 0, 0, 0, -1].

• The given transfer function H(Z) represents a discrete-time system with a finite impulse response (FIR) filter.

• To find y[n], we need to convolve x[n] with the impulse response h[n] = [1, 0, 0, 0, -1].

• Convolution can be performed by sliding the impulse response over the input sequence and summ...read more

It is better to take another random shot.

• The probability of hitting the target is higher when taking another random shot.

• Taking the next slot after the one that missed you does not increase the chances of hitting the target.

• Each slot has an equal probability of being chosen, so the odds are the same for both options.