Top 10 High-Frequency Problems and Analysis of Core Principles for Senior Hardware Engineer Interview Questions

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    In the field of hardware research and development, senior engineers not only need to be able to solve current engineering problems, but also need to have a deep understanding of the physical principles and system level impacts behind the problems. In job interviews, interviewers often use these underlying logic to assess candidates' technical depth. Here are 10 selected high-frequency interview questions and core analysis for senior hardware engineers to help you prepare comprehensively.


    Top 10 High-Frequency Problems and Analysis of Core Principles for Senior Hardware Engineer Interview Questions


    1. What are the prerequisites for the establishment of virtual short and virtual break? What are the limitations of actual operational amplifiers?

    The core prerequisite for the establishment of virtual short and virtual break is that the operational amplifier must operate in the linear region (i.e. in a closed-loop negative feedback state). However, in practical applications, ideal models are subject to many physical limitations, including input offset voltage, bias current, limited open-loop gain and bandwidth, etc. These factors can lead to the inability of "virtual short" to be absolutely strictly established in actual circuits.


    2. Why is the input impedance of the voltage follower high? Who has a larger bandwidth compared to a in-phase amplifier?

    The high input impedance of the voltage follower is due to the fact that the signal is directly applied to the in-phase input terminal of the operational amplifier, and its input impedance is close to the differential input impedance of the operational amplifier itself (up to megaohm level). In terms of bandwidth, the bandwidth of the voltage follower is usually larger than that of the in-phase amplifier because its closed-loop gain is 1. With a fixed gain bandwidth product, the maximum bandwidth can be obtained at this time.


    3. How to match the load capacitance of a passive crystal oscillator? How to estimate the parasitic capacitance introduced by PCB routing?

    The load capacitor needs to be matched strictly according to the specifications, and the formula is: CL=C1 * C2/(C1+C2)+Cstray. Usually, C1=C2=2 × (CL Cstray) is taken in design. The parasitic capacitance introduced by PCB routing can generally be estimated to be about 0.5-1 pF per centimeter, and the specific value may vary depending on the line width and routing spacing.


    4. The I/O drive capability of the microcontroller is insufficient. What else can be done besides adding a buffer?

    When the I/O driving capability is limited, in addition to adding buffers, multiple I/O parallel outputs can also be selected (ensuring in-phase), or external transistors/MOSFETs can be used for current expansion. In addition, for low-speed signals, open drain output and external pull-up resistors can also be used to achieve it.


    5. What are the main hazards of parasitic capacitance in high-frequency circuits? How to reduce?

    The main hazards of parasitic capacitance in high-frequency circuits include signal attenuation, increased delay, introduction of crosstalk, and EMI (electromagnetic interference). The three effective layout methods to reduce parasitic capacitance are: ① reducing the length of parallel traces; ② Increase the spacing between routing lines; ③ Ground isolation should be added on both sides of the critical signal (or surrounded by a ground plane).


    6. How to calculate the resistance value of the pull-up resistor for long-distance transmission of I2C bus from multiple sources?

    The minimum value of the I2C pull-up resistor is determined by the power supply voltage and the maximum charging current of the IO port (Rp_min=Vcc/I2 max); The maximum value is determined by the bus capacitance and rise time (Rp_max=tr/(0.847 × Cb)). In practical engineering, the resistance value is usually between 2k Ω and 10k Ω.


    7. What factors affect the threshold voltage of MOSFET? Will it increase or decrease under high temperature?

    The threshold voltage of MOSFET is influenced by various factors such as gate oxide thickness, substrate doping concentration, temperature, and bulk effect. In high temperature environments, the threshold voltage of NMOS will decrease because the intrinsic carrier concentration increases, making it easier for the inversion layer to form.


    8. What are the consequences of insufficient common mode rejection ratio in high-precision measurements?

    If the common mode rejection ratio is insufficient, common mode signals (such as power supply noise and ground bounce) will be converted into differential mode outputs by the amplifier, directly leading to measurement errors. For example, in bridge sensor applications, changes in common mode voltage can be directly superimposed on the useful signal, severely reducing the signal-to-noise ratio of the system.


    9. How to choose DC-DC and LDO based on load, ripple, and efficiency in communication equipment or industrial control?

    DC-DC should be selected in scenarios with high current (>500mA) and high voltage difference (>2V), as it has high efficiency but large ripple; In situations with low current, low voltage drop, and sensitivity to noise, LDO should be selected. For ripple sensitive RF or analog circuits, it is usually necessary to add LDO for secondary voltage stabilization after DC-DC.


    10. What is the relationship between phase noise and jitter of a crystal oscillator? What is the approximate requirement for clock jitter in PCIe Gen5?

    Phase noise is characterized in the frequency domain, while jitter is integrated in the time domain. jitter is essentially the integration result of phase noise in a specific frequency band. For high-speed interfaces, PCIe Gen5 has very strict requirements for clock jitter, typically requiring RMS jitter less than 0.5ps.


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