I received a call after submitting my resume at the career fair at my university. The first call was about my availability, explaining my projects and why I chose to apply at Mathworks. They then scheduled the second call, which was a technical interview. There were 5 sections in the second round:

1. Basic math - calculus, differential equations, and linear algebra.
2. Programming concepts - syntax and how languages work.
3. One programming language – C (recommended), C++, or Java. If C++ was selected, understanding of syntax, structure, compilation, and OOP concepts is required.
4. MATLAB - basic MATLAB syntax, data, and programming concepts.
5. This section was a choice between signal processing, control systems, computer science, and one other field I don't recall. I chose Signal Processing (concepts such as aliasing, convolution, and transforms).

Signal Processing:

• What is aliasing?
• State the Nyquist theorem.
• Explain oversampling and undersampling.
• Explain linear time-invariant systems.
• Given an input x[n] and output y[n], determine if y[n] is linear, causal, and/or time-invariant.
• What are FIR and IIR filters?
• Questions related to z-transforms, Fourier transform, DTFT, and DFT.

MATLAB:

• Difference between a function and a script.
• Workspace of both.
• Difference between a*b and a.*b.
• Initializing an array.
• Find numbers between 1 to n divisible by 3.
• How to concatenate two strings without using an in-built function.
• How to find the transpose of a matrix.

Basic Math:

• Rank of a matrix.
• Eigenvalues and eigenvectors.
• Orthogonality.
• Null space of a vector.
• Projection of a vector onto another.

Programming Language and Concepts:

• Difference between call-by-value and call-by-reference.
• Difference between const and #define.
• Difference between the * and & operators.

I felt the interview went really well but don't know what they were exactly looking for. I received a rejection.

Questions related to the z-transform and DTFT were tough.